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Standard XI
Mathematics
Axiomatic Approach
A fair coin i...
Question
A fair coin is flipped
5
times.
The probability of getting more heads than tails is
1
2
A
True
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B
False
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Solution
The correct option is
A
True
There are 32 sample solutions in the solution set of the 5 coin toss. Since
2
5
=
32
Since each head or tail is equally likely the probability of getting more heads is 0.5
3 Heads 2 Tails: Total number of occurences is 5!/(3!*2!)= 10
4 Heads 1 Tail : Total number of occurences is 5!/4!) = 5
5 head 0 Tail : Total number of occurences is 5!/5! = 1
If you add the above occurrences it adds upto 16. So the probability is 16/32 or 1/2.
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